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Mathematics 7 Online
OpenStudy (anonymous):

can some one solve i=prt for p.

OpenStudy (mathstudent55):

Since you want to solve for p, you want p alone. What operation exists between p and rt? Do the opposite operation to both sides of the equation.

OpenStudy (anonymous):

iam not following

OpenStudy (mathstudent55):

Here is a simple example. 6 = 2x Solve for x. Since x is being multiplied by 2, and we want x alone, we divide by 2 to get x by itself. We must do the same operation to both sides of an equation so we divided both sides by 2. 6 = 2x \(\dfrac{6}{2} = \dfrac{2x}{2} \) 3 = x x = 3

OpenStudy (mathstudent55):

Now follow this example, and apply it to your problem.

OpenStudy (anonymous):

is it p = irt

OpenStudy (mathstudent55):

No. Notice in my example, I used division since division is the opposite operation to multiplication. Here you must do the same.

OpenStudy (mathstudent55):

Let's do it together. Solve i=prt for p. We notice that p, the variable we are solving for, is being multiplied by rt. Ok so far?

OpenStudy (anonymous):

ok

OpenStudy (mathstudent55):

Since the opposite of multiplication is division, to get rid of the rt multiplying p, we need to divide prt by rt. The rule with an equation is that you must do the same operation to both sides of the equation, so we must divide both sides of the equation by rt. \(i = prt\) \(\dfrac{i}{rt} = \dfrac{prt}{rt} \) \(\dfrac{i}{rt} = p\) \(p = \dfrac{i}{rt} \)

OpenStudy (anonymous):

the awser is p=i/rt

OpenStudy (mathstudent55):

Correct.

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